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40224442323204 = 22321995614802111
BaseRepresentation
bin10010010010101011110111…
…00110001001000100000100
312021102102022112202100212200
421021111323212021010010
520233014124213320304
6221314504222114500
711321056115235156
oct1111257346110404
9167372275670780
1040224442323204
11118a90aa051487
12461792441ba30
13195a1c1722679
149d0c32856ad6
1549b4e3e05e39
hex24957b989104

40224442323204 has 36 divisors (see below), whose sum is σ = 102189398438400. Its totient is φ = 13340769813360.

The previous prime is 40224442323199. The next prime is 40224442323209. The reversal of 40224442323204 is 40232324442204.

40224442323204 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 4 + 4 + 423 + 23 + 204 = 666.

It is an interprime number because it is at equal distance from previous prime (40224442323199) and next prime (40224442323209).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40224442323209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2807393892 + ... + 2807408219.

Almost surely, 240224442323204 is an apocalyptic number.

It is an amenable number.

40224442323204 is an abundant number, since it is smaller than the sum of its proper divisors (61964956115196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40224442323204 is a wasteful number, since it uses less digits than its factorization.

40224442323204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614802320 (or 5614802315 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 40224442323204 its reverse (40232324442204), we get a palindrome (80456766765408).

The spelling of 40224442323204 in words is "forty trillion, two hundred twenty-four billion, four hundred forty-two million, three hundred twenty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 199 398 597 796 1194 1791 2388 3582 7164 5614802111 11229604222 16844406333 22459208444 33688812666 50533218999 67377625332 101066437998 202132875996 1117345620089 2234691240178 3352036860267 4469382480356 6704073720534 10056110580801 13408147441068 20112221161602 40224442323204